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Finding the Fourth Proportional to 2,609.64, 3,600.74 and 1,505

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Solution

The fourth proportional to 2,609.64, 3,600.74 and 1,505 is: 2,076.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.64 : 3,600.74 = 1,505 : x
  2. Step 2: Convert to fraction form
    2,609.64/3,600.74 = 1,505/x
  3. Step 3: Cross multiply
    2,609.64x = 3,600.74 × 1,505
  4. Step 4: Simplify right side
    2,609.64x = 5,419,113.70
  5. Step 5: Solve for x
    x = 5,419,113.70/2,609.64
  6. Step 6: Final answer
    x = 2,076.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.